{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:7EKJGCTCSR5NTYLNQR3CTLPQWN","short_pith_number":"pith:7EKJGCTC","canonical_record":{"source":{"id":"mtrl-th/9604002","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"mtrl-th","submitted_at":"1996-04-10T18:34:59Z","cross_cats_sorted":["atom-ph","chem-ph","cond-mat.mtrl-sci"],"title_canon_sha256":"ba606761cc008804b4b64a3a3fe8ec491d348ae039f4a8d3196b4859301e3523","abstract_canon_sha256":"9df54f71569a2e9a15126c852236800948a6cf52866dc596daa4bee37283f8fe"},"schema_version":"1.0"},"canonical_sha256":"f914930a62947ad9e16d847629adf0b34145c25fcaa9de886d8a8b6bfade0ccf","source":{"kind":"arxiv","id":"mtrl-th/9604002","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"mtrl-th/9604002","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"arxiv_version","alias_value":"mtrl-th/9604002v1","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.mtrl-th/9604002","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"pith_short_12","alias_value":"7EKJGCTCSR5N","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"7EKJGCTCSR5NTYLN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"7EKJGCTC","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:7EKJGCTCSR5NTYLNQR3CTLPQWN","target":"record","payload":{"canonical_record":{"source":{"id":"mtrl-th/9604002","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"mtrl-th","submitted_at":"1996-04-10T18:34:59Z","cross_cats_sorted":["atom-ph","chem-ph","cond-mat.mtrl-sci"],"title_canon_sha256":"ba606761cc008804b4b64a3a3fe8ec491d348ae039f4a8d3196b4859301e3523","abstract_canon_sha256":"9df54f71569a2e9a15126c852236800948a6cf52866dc596daa4bee37283f8fe"},"schema_version":"1.0"},"canonical_sha256":"f914930a62947ad9e16d847629adf0b34145c25fcaa9de886d8a8b6bfade0ccf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:22.226115Z","signature_b64":"ZNk36iwBak2rCbsaMHFiKNTEqc/FTHADUn5Io3ndA/WH3ylApbdpVh1T4wXSOHE+Rln4Ql90X127N3CmeLNaBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f914930a62947ad9e16d847629adf0b34145c25fcaa9de886d8a8b6bfade0ccf","last_reissued_at":"2026-05-18T01:38:22.225504Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:22.225504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"mtrl-th/9604002","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4c32mTcrl/VU1/cOi4//qOqACP1AkqZoY5Aw0ST2MCQknSwYaaDTwb7u1wdD8TAa46hnEht42byAXtwG1fQ6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:24:56.171890Z"},"content_sha256":"61eff7dd09264994a10d2934155f35b554a88d1e1506fada69bef418b2a26536","schema_version":"1.0","event_id":"sha256:61eff7dd09264994a10d2934155f35b554a88d1e1506fada69bef418b2a26536"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:7EKJGCTCSR5NTYLNQR3CTLPQWN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On The Low-Frequency Vibrational Modes of C$_{60}$","license":"","headline":"","cross_cats":["atom-ph","chem-ph","cond-mat.mtrl-sci"],"primary_cat":"mtrl-th","authors_text":"Dennis P. Clougherty, John P. Gorman (Department of Physics, University of Vermont)","submitted_at":"1996-04-10T18:34:59Z","abstract_excerpt":"The vibrational spectrum of C$_{60}$ is compared to the spectrum of a classical isotropic elastic spherical shell. We show correlations between the low frequency modes of C$_{60}$ and those of the spherical shell. We find the spherical model gives the approximate frequency ordering for the low frequency modes. We estimate a Poisson ratio of $\\sigma\\approx 0.30$ and a transverse speed of sound of $v_s\\approx 1800$ m/s for the equivalent elastic shell. We also find that $\\omega({\\rm M_1})/\\omega({\\rm M_0})=\\sqrt{3\\over 2}$ for the shell modes ${\\rm M_0}$ and ${\\rm M_1}$, independent of elastic c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"mtrl-th/9604002","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mJwYjnFBsvQsvQTQtJVw7fj3w59LRstIIK20lQ81UOoqSi40ncQrlnVT+W93r3+KoebTzocL3ZgQHE/4rqcMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T21:24:56.172228Z"},"content_sha256":"4089ad9f5b925984c421861cddd742431e4c8add16cea1230df8dba1bd91d9c2","schema_version":"1.0","event_id":"sha256:4089ad9f5b925984c421861cddd742431e4c8add16cea1230df8dba1bd91d9c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7EKJGCTCSR5NTYLNQR3CTLPQWN/bundle.json","state_url":"https://pith.science/pith/7EKJGCTCSR5NTYLNQR3CTLPQWN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7EKJGCTCSR5NTYLNQR3CTLPQWN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T21:24:56Z","links":{"resolver":"https://pith.science/pith/7EKJGCTCSR5NTYLNQR3CTLPQWN","bundle":"https://pith.science/pith/7EKJGCTCSR5NTYLNQR3CTLPQWN/bundle.json","state":"https://pith.science/pith/7EKJGCTCSR5NTYLNQR3CTLPQWN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7EKJGCTCSR5NTYLNQR3CTLPQWN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:7EKJGCTCSR5NTYLNQR3CTLPQWN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9df54f71569a2e9a15126c852236800948a6cf52866dc596daa4bee37283f8fe","cross_cats_sorted":["atom-ph","chem-ph","cond-mat.mtrl-sci"],"license":"","primary_cat":"mtrl-th","submitted_at":"1996-04-10T18:34:59Z","title_canon_sha256":"ba606761cc008804b4b64a3a3fe8ec491d348ae039f4a8d3196b4859301e3523"},"schema_version":"1.0","source":{"id":"mtrl-th/9604002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"mtrl-th/9604002","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"arxiv_version","alias_value":"mtrl-th/9604002v1","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.mtrl-th/9604002","created_at":"2026-05-18T01:38:22Z"},{"alias_kind":"pith_short_12","alias_value":"7EKJGCTCSR5N","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"7EKJGCTCSR5NTYLN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"7EKJGCTC","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:4089ad9f5b925984c421861cddd742431e4c8add16cea1230df8dba1bd91d9c2","target":"graph","created_at":"2026-05-18T01:38:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The vibrational spectrum of C$_{60}$ is compared to the spectrum of a classical isotropic elastic spherical shell. We show correlations between the low frequency modes of C$_{60}$ and those of the spherical shell. We find the spherical model gives the approximate frequency ordering for the low frequency modes. We estimate a Poisson ratio of $\\sigma\\approx 0.30$ and a transverse speed of sound of $v_s\\approx 1800$ m/s for the equivalent elastic shell. We also find that $\\omega({\\rm M_1})/\\omega({\\rm M_0})=\\sqrt{3\\over 2}$ for the shell modes ${\\rm M_0}$ and ${\\rm M_1}$, independent of elastic c","authors_text":"Dennis P. Clougherty, John P. Gorman (Department of Physics, University of Vermont)","cross_cats":["atom-ph","chem-ph","cond-mat.mtrl-sci"],"headline":"","license":"","primary_cat":"mtrl-th","submitted_at":"1996-04-10T18:34:59Z","title":"On The Low-Frequency Vibrational Modes of C$_{60}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"mtrl-th/9604002","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:61eff7dd09264994a10d2934155f35b554a88d1e1506fada69bef418b2a26536","target":"record","created_at":"2026-05-18T01:38:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9df54f71569a2e9a15126c852236800948a6cf52866dc596daa4bee37283f8fe","cross_cats_sorted":["atom-ph","chem-ph","cond-mat.mtrl-sci"],"license":"","primary_cat":"mtrl-th","submitted_at":"1996-04-10T18:34:59Z","title_canon_sha256":"ba606761cc008804b4b64a3a3fe8ec491d348ae039f4a8d3196b4859301e3523"},"schema_version":"1.0","source":{"id":"mtrl-th/9604002","kind":"arxiv","version":1}},"canonical_sha256":"f914930a62947ad9e16d847629adf0b34145c25fcaa9de886d8a8b6bfade0ccf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f914930a62947ad9e16d847629adf0b34145c25fcaa9de886d8a8b6bfade0ccf","first_computed_at":"2026-05-18T01:38:22.225504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:22.225504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZNk36iwBak2rCbsaMHFiKNTEqc/FTHADUn5Io3ndA/WH3ylApbdpVh1T4wXSOHE+Rln4Ql90X127N3CmeLNaBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:22.226115Z","signed_message":"canonical_sha256_bytes"},"source_id":"mtrl-th/9604002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61eff7dd09264994a10d2934155f35b554a88d1e1506fada69bef418b2a26536","sha256:4089ad9f5b925984c421861cddd742431e4c8add16cea1230df8dba1bd91d9c2"],"state_sha256":"56f245d0d9250f6b81d54fa647a5ad775acfaa6472441692642651a0e3078b3f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oubUXypdQ12IyG+2DnI8aR1ZDuaMYKvjc/2Lc71rZJh/8ZpbV00477eDVHrrEIf+vTHSLXH5WTv6NWOnQItvAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T21:24:56.174102Z","bundle_sha256":"af3d2f9e4dcddac03981c5ff1068e7ba4dfd50f13c6fadd3c976044635c7adc9"}}